I have seen some scenarios where someone says a sentence like, "I'm sorry" to some of his/her co-workers and then after three or four seconds he/she says, "That you guys are idiots".
For a slightly differnent setting, let's just say that the person who spoke was in the beginning going to really only say "I'm sorry", but then after a few seconds re-decided to add the second utterance.
Is the utterance "That you guys are idiots" part of the utterance "I'm sorry", or are they both separate sentences because of the three or four seconds in between the two utterances?